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Sliding mode control for uncertain active vehicle suspension systems: an event-triggered \(\varvec{\mathcal {H}}_{\infty }\) control scheme

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Abstract

This paper considers the event-triggered sliding mode control problem of uncertain active vehicle suspension systems. A more comprehensive polytope approach is employed to model the uncertainties which generally exist in the sprung and unsprung masses. Moreover, the corresponding mathematical model is constructed for the quarter-vehicle active suspension system. Meanwhile, the event-triggered transmission mechanism is taken into account to schedule communication and save bandwidth. The main purpose of this paper is to develop a proper sliding mode controller which can guarantee the asymptotic stability and \(\mathcal {H}_{\infty }\) performance for the suspension system with some constraints. By means of convex optimization technique, some sufficient conditions are derived to assure the constructed event-triggered sliding mode control law can not only ensure the corresponding sliding mode dynamics are asymptotically stable but also the predefined switching surface is reachable. Finally, the feasibility of the designed method is verified by a simulation example.

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Acknowledgements

This work of H. Shen was supported by the National Natural Science Foundation of China (Grant Nos. 61703004 and 61873002). Also, the work of J.H. Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) (No. 2019R1A5A808029011).

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Authors and Affiliations

  1. AnHui Province Key Laboratory of Special Heavy Load Robot, Anhui University of Technology, Maanshan, 243032, China

    Chengyu Yang, Hao Shen & Jian Wang

  2. School of Electrical and Information Engineering, Anhui University of Technology, Maanshan, 243032, China

    Chengyu Yang, Hao Shen & Jian Wang

  3. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, China

    Jianwei Xia

  4. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan, 38541, Republic of Korea

    Ju H. Park

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  1. Chengyu Yang
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  2. Jianwei Xia
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  4. Hao Shen
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  5. Jian Wang
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Correspondence to Ju H. Park or Hao Shen.

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Yang, C., Xia, J., Park, J.H. et al. Sliding mode control for uncertain active vehicle suspension systems: an event-triggered \(\varvec{\mathcal {H}}_{\infty }\) control scheme. Nonlinear Dyn 103, 3209–3221 (2021). https://doi.org/10.1007/s11071-020-05742-z

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